Institute: Indian Institutes of Management (IIMs)

Course:

Subject: Quantitative Ability

Topic: Functions

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#### shaalaa.com | Types of sets : Finite Set, Infinite Set, Singleton Set and Null set

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Functions

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Types of sets : Finite Set, Infinite Set, Singleton Set and Null set

00:08:00

00:08:00

Introduction to Set Concepts & Venn Diagrams

00:23:10

00:23:10

Learn to Write Relation into Set Builder, Roster Form & Find Domain and Range

00:03:27

00:03:27

Set Operations

00:05:34

00:05:34

Difference Of Two Sets

00:11:36

00:11:36

Symmetric difference of sets

00:04:55

00:04:55

Sets And Its Complement - Sets And Relations

00:08:08

00:08:08

Cartesian Product of Two Sets

00:06:55

00:06:55

Defining Relations, Functions, Domain, and Range Using Mappings

00:13:15

00:13:15

Domain and range of a function given a formula

00:08:07

00:08:07

Functions, Types, One to One, Many to one Function Injective, Surjective and Bijective Function

00:05:05

00:05:05

bijection, injection and surjection

00:09:32

00:09:32

The constant function

00:08:37

00:08:37

Inverse Functions

00:17:35

00:17:35

Composition of Functions

00:08:01

00:08:01

Real Valued Functions

00:03:48

00:03:48

explicit and implicit functions

00:07:12

00:07:12

Even and Odd Functions

00:32:24

00:32:24

Identification of Periodic Functions

00:04:04

00:04:04

Increasing & Decreasing Functions

00:08:29

00:08:29

Polynomial Functions

00:15:38

00:15:38

The Modulus Function

00:06:31

00:06:31

Signum Function

00:04:45

00:04:45

Functional equations Part 1

00:07:40

00:07:40

Functional equations Part 2

00:06:09

00:06:09

Graphs Part 1

00:03:32

00:03:32

Graphs Part 2

00:06:34

00:06:34

Graphs Part 3

00:04:29

00:04:29

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(if you have any topic related video then share link with us)### Description

- Roster form, Set builder form.
- Types of sets-Null set, Finite infinite sets, cardinaity of a set, singleton sets, equal sets, Subsets, supersets, power set, universal set.
- Set operations- union intersection, division and difference of sets, Complement of a set, Symmetric difference of two sets, Cartesian product of sets
- Relations- domain and range of relations, Inverse of a relation.
- Functions- One-one function, many-one function, Onto function, Into function, Bijection, Constant function, Identity Function, Inverse Function, Composition of functions, real Functions, Explicit implicit functions, even and odd functions, periodic functions, Increasing decreasing functions, Polynomial functions, modulus functions, Signum functions, Trigonometric functions, Functional equations.
- Graphs